On the influence of ideals and self-idealizing subalgebras on the structure of Leibniz algebras
DOI:
https://doi.org/10.15407/dopovidi2021.05.012Keywords:
Leibniz algebra, ideal, idealizer, self-idealizing subalgebraAbstract
The subalgebra A of a Leibniz algebra L is self-idealizing in L, if A = IL (A) . In this paper we study the structure of Leibniz algebras, whose subalgebras are either ideals or self-idealizing. More precisely, we obtain a description of such Leibniz algebras for the cases where the locally nilpotent radical is Abelian non-cyclic, non-Abelian noncyclic, and cyclic of dimension 2.
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